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Finding the Fourth Proportional to 18,171.52, 27,262 and 8,306.08

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Solution

The fourth proportional to 18,171.52, 27,262 and 8,306.08 is: 12,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,171.52 : 27,262 = 8,306.08 : x
  2. Step 2: Convert to fraction form
    18,171.52/27,262 = 8,306.08/x
  3. Step 3: Cross multiply
    18,171.52x = 27,262 × 8,306.08
  4. Step 4: Simplify right side
    18,171.52x = 226,440,352.96
  5. Step 5: Solve for x
    x = 226,440,352.96/18,171.52
  6. Step 6: Final answer
    x = 12,461.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.